42509867904 has 448 divisors, whose sum is σ = 146412334080. Its totient is φ = 12037248000.

The previous prime is 42509867903. The next prime is 42509867909. The reversal of 42509867904 is 40976890524.

42509867904 is a `hidden beast` number, since 42 + 509 + 8 + 6 + 7 + 90 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42509867903) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 98630569 + ... + 98630999.

Almost surely, 2^42509867904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42509867904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73206167040).

42509867904 is an abundant number, since it is smaller than the sum of its proper divisors (103902466176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42509867904 is an equidigital number, since it uses as much as digits as its factorization.

42509867904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 42509867904 in words is "forty-two billion, five hundred nine million, eight hundred sixty-seven thousand, nine hundred four".